1. Big Operators 
2. Binary Operators
3. Fractions and Binomials 
4. Math Operators 

Operators

Letters

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$\forall$ | `\forall`|
|$\complement$ | `\complement`|
|$\therefore$ | `\therefore`|
|$\emptyset$ | `\emptyset`|
|$\exists$ | `\exists`|
|$\subset$ | `\subset`|
|$\because$ | `\because`|
|$\empty$ | `\empty`|
|$\exist$ | `\exist`|
|$\supset$ | `\supset`|
|$\mapsto$ | `\mapsto`|
|$\varnothing$ | `\varnothing`|
|$\nexists$ | `\nexists`|
|$\mid$ | `\mid`|
|$\to$ | `\to`|
|$\implies$ | `\implies`|
|$\in$ | `\in`|
|$\land$ | `\land`|
|$\gets$ | `\gets`|
|$\impliedby$ | `\impliedby`|
|$\isin$ | `\isin`|
|$\lor$ | `\lor`|
|$\leftrightarrow$ | `\leftrightarrow`|
|$\iff$ | `\iff`|
|$\notin$ | `\notin`|
|$\ni$ | `\ni`|
|$\notni$ | `\notni`|
|$\neg$ | `\neg`|
|$\lnot$ | `\lnot`|

Logic and Set Theory Symbols

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$a'$ | `a'`|
|$\tilde{a}$ | `\tilde{a}`|
|$\mathring{g}$ | `\mathring{g}`|
|$a''$ | `a''`|
|$\widetilde{ac}$ | `\widetilde{ac}`|
|$\overgroup{AB}$ | `\overgroup{AB}`|
|$a^{\prime}$ | `a^{\prime}`|
|$\utilde{AB}$ | `\utilde{AB}`|
|$\undergroup{AB}$ | `\undergroup{AB}`|
|$\acute{a}$ | `\acute{a}`|
|$\vec{F}$ | `\vec{F}`|
|$\Overrightarrow{AB}$ | `\Overrightarrow{AB}`|
|$\bar{y}$ | `\bar{y}`|
|$\overleftarrow{AB}$ | `\overleftarrow{AB}`|
|$\overrightarrow{AB}$ | `\overrightarrow{AB}`|
|$\breve{a}$ | `\breve{a}`|
|$\underleftarrow{AB}$ | `\underleftarrow{AB}`|
|$\underrightarrow{AB}$ | `\underrightarrow{AB}`|
|$\check{a}$ | `\check{a}`|
|$\overleftharpoon{ac}$ | `\overleftharpoon{ac}`|
|$\overrightharpoon{ac}$ | `\overrightharpoon{ac}`|
|$\dot{a}$ | `\dot{a}`|
|$\overleftrightarrow{AB}$ | `\overleftrightarrow{AB}`|
|$\overbrace{AB}$ | `\overbrace{AB}`|
|$\ddot{a}$ | `\ddot{a}`|
|$\underleftrightarrow{AB}$ | `\underleftrightarrow{AB}`|
|$\underbrace{AB}$ | `\underbrace{AB}`|
|$\grave{a}$ | `\grave{a}`|
|$\overline{AB}$ | `\overline{AB}`|
|$\overlinesegment{AB}$ | `\overlinesegment{AB}`|
|$\hat{\theta}$ | `\hat{\theta}`|
|$\underline{AB}$ | `\underline{AB}`|
|$\underlinesegment{AB}$ | `\underlinesegment{AB}`|
|$\widehat{ac}$ | `\widehat{ac}`|
|$\widecheck{ac}$ | `\widecheck{ac}`|

Accents and Symbol Decorators

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$( )$ | `( )`|
|$\lparen$ | `\lparen`|
|$\rparen$ | `\rparen`|
|$⌈ ⌉$ | `⌈ ⌉`|
|$\lceil$ | `\lceil`|
|$\rceil$ | `\rceil`|
|$\uparrow$ | `\uparrow`|
|$[ ]$ | `[ ]`|
|$\lbrack$ | `\lbrack`|
|$\rbrack$ | `\rbrack`|
|$⌊ ⌋$ | `⌊ ⌋`|
|$\lfloor$ | `\lfloor`|
|$\rfloor$ | `\rfloor`|
|$\downarrow$ | `\downarrow`|
|$\{ \}$ | `\{ \}`|
|$\lbrace$ | `\lbrace`|
|$\rbrace$ | `\rbrace`|
|$⎰⎱$ | `⎰⎱`|
|$\lmoustache$ | `\lmoustache`|
|$\rmoustache$ | `\rmoustache`|
|$\updownarrow$ | `\updownarrow`|
|$⟨ ⟩$ | `⟨ ⟩`|
|$\langle$ | `\langle`|
|$\rangle$ | `\rangle`|
|$⟮ ⟯$ | `⟮ ⟯`|
|$\lgroup$ | `\lgroup`|
|$\rgroup$ | `\rgroup`|
|$\Uparrow$ | `\Uparrow`|
|$|$ | `|`|
|$\vert$ | `\vert`|
|$┌ ┐$ | `┌ ┐`|
|$\ulcorner$ | `\ulcorner`|
|$\urcorner$ | `\urcorner`|
|$\Downarrow$ | `\Downarrow`|
|$\|$ | `\|`|
|$\Vert$ | `\Vert`|
|$└ ┘$ | `└ ┘`|
|$\llcorner$ | `\llcorner`|
|$\lrcorner$ | `\lrcorner`|
|$\Updownarrow$ | `\Updownarrow`|
|$\lvert$ | `\lvert`|
|$\rvert$ | `\rvert`|
|$\lVert$ | `\lVert`|
|$\rVert$ | `\rVert`|
|$\backslash$ | `\backslash`|
|$\lang$ | `\lang`|
|$\rang$ | `\rang`|
|$\lt \gt$ | `\lt \gt`|
|$⟦ ⟧$ | `⟦ ⟧`|
|$\llbracket$ | `\llbracket`|
|$\rrbracket$ | `\rrbracket`|
|$\lBrace \rBrace$ | `\lBrace \rBrace`|

Brackets / Delimiters 

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$$\begin{matrix}a & b \\c & d\end{matrix}$$ | `\begin{matrix}a & b \\c & d\end{matrix}`|
|$$\begin{array}{cc}a & b \\c & d\end{array}$$ | `\begin{array}{cc}a & b \\c & d\end{array}`|
|$$\begin{pmatrix}a & b \\c & d\end{pmatrix}$$ | `\begin{pmatrix}a & b \\c & d\end{pmatrix}`|
|$$\begin{bmatrix}a & b \\c & d\end{bmatrix}$$ | `\begin{bmatrix}a & b \\c & d\end{bmatrix}`|
|$$\begin{vmatrix}a & b \\c & d\end{vmatrix}$$ | `\begin{vmatrix}a & b \\c & d\end{vmatrix}`|
|$$\begin{Vmatrix}a & b \\c & d\end{Vmatrix}$$ | `\begin{Vmatrix}a & b \\c & d\end{Vmatrix}`|
|$$\begin{Bmatrix}a & b \\c & d\end{Bmatrix}$$ | `\begin{Bmatrix}a & b \\c & d\end{Bmatrix}`|
|$$\begin{array}{c:c:c}a & b & c \\ \hline d & e & f \\ \hdashline g & h & i\end{array}$$ | `\begin{array}{c:c:c}a & b & c \\ \hline d & e & f \\ \hdashline g & h & i\end{array}`|
|$$\begin{aligned}a&=b+c \\d+e&=f\end{aligned}$$ | `\begin{aligned}a&=b+c \\d+e&=f\end{aligned}`|
|$$\begin{alignedat}{2} 10&x+ &3&y = 2 \\3&x+&13&y = 4\end{alignedat}$$ | `\begin{alignedat}{2} 10&x+ &3&y = 2 \\3&x+&13&y = 4\end{alignedat}`|
|$$\begin{gathered}a=b \\e=b+c\end{gathered}$$ | `\begin{gathered}a=b \\e=b+c\end{gathered}`|
|$$x = \begin{cases}a &\text{if } b \\c &\text{if } d\end{cases}$$ | `x = \begin{cases}$a &\text{if } b \\c &\text{if } d\end{cases}`|

Matricies / Environments

1. Equality Comparison Symbols
2. Negated Relation Symbols 
3. Arrows 

Comparison and Relation Symbols

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$\cancel{5}$ | `\cancel{5}`|
|$\bcancel{5}$ | `\bcancel{5}`|
|$\overbrace{a+b+c}^{\text{note}}$ | `\overbrace{a+b+c}^{\text{note}}`|
|$\underbrace{a+b+c}_{\text{note}}$ | `\underbrace{a+b+c}_{\text{note}}`|
|$\xcancel{ABC}$ | `\xcancel{ABC}`|
|$\sout{abc}$ | `\sout{abc}`|
|$\not =$ | `\not =`|
|$\boxed{\pi=\frac c d}$ | `\boxed{\pi=\frac c d}`|

Annotation Symbols

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$% comment$ | `% comment`|
|$\dots$ | `\dots`|
|$\KaTeX$ | `\KaTeX`|
|$\%$ | `\%`|
|$\cdots$ | `\cdots`|
|$\LaTeX$ | `\LaTeX`|
|$\#$ | `\#`|
|$\ddots$ | `\ddots`|
|$\TeX$ | `\TeX`|
|$\&$ | `\&`|
|$\ldots$ | `\ldots`|
|$\nabla$ | `\nabla`|
|$\_$ | `\_`|
|$\vdots$ | `\vdots`|
|$\infty$ | `\infty`|
|$\text{\textunderscore}$ | `\text{\textunderscore}`|
|$\dotsb$ | `\dotsb`|
|$\infin$ | `\infin`|
|$\text{--}$ | `\text{--}`|
|$\dotsc$ | `\dotsc`|
|$\checkmark$ | `\checkmark`|
|$\text{\textendash}$ | `\text{\textendash}`|
|$\dotsi$ | `\dotsi`|
|$\dag$ | `\dag`|
|$\text{---}$ | `\text{---}`|
|$\dotsm$ | `\dotsm`|
|$\dagger$ | `\dagger`|
|$\text{\textemdash}$ | `\text{\textemdash}`|
|$\dotso$ | `\dotso`|
|$\text{\textdagger}$ | `\text{\textdagger}`|
|$\text{\textasciitilde}$ | `\text{\textasciitilde}`|
|$\sdot$ | `\sdot`|
|$\ddag$ | `\ddag`|
|$\text{\textasciicircum}$ | `\text{\textasciicircum}`|
|$\mathellipsis$ | `\mathellipsis`|
|$\ddagger$ | `\ddagger`|
|$``$ | ''|
|$\text{\textellipsis}$ | `\text{\textellipsis}`|
|$\text{\textdaggerdbl}$ | `\text{\textdaggerdbl}`|
|$\Box$ | `\Box`|
|$\Dagger$ | `\Dagger`|
|$\lq$ | `\lq`|
|$\square$ | `\square`|
|$\angle$ | `\angle`|
|$\text{\textquoteright}$ | `\text{\textquoteright}`|
|$\blacksquare$ | `\blacksquare`|
|$\measuredangle$ | `\measuredangle`|
|$\rq$ | `\rq`|
|$\triangle$ | `\triangle`|
|$\sphericalangle$ | `\sphericalangle`|
|$\text{\textquotedblleft}$ | `\text{\textquotedblleft}`|
|$\triangledown$ | `\triangledown`|
|$\top$ | `\top`|
|$"$ | `"`|
|$\triangleleft$ | `\triangleleft`|
|$\bot$ | `\bot`|
|$\text{\textquotedblright}$ | `\text{\textquotedblright}`|
|$\triangleright$ | `\triangleright`|
|$\$$ | `\$`|
|$\colon$ | `\colon`|
|$\bigtriangledown$ | `\bigtriangledown`|
|$\text{\textdollar}$ | `\text{\textdollar}`|
|$\backprime$ | `\backprime`|
|$\bigtriangleup$ | `\bigtriangleup`|
|$\pounds$ | `\pounds`|
|$\prime$ | `\prime`|
|$\blacktriangle$ | `\blacktriangle`|
|$\mathsterling$ | `\mathsterling`|
|$\text{\textless}$ | `\text{\textless}`|
|$\blacktriangledown$ | `\blacktriangledown`|
|$\text{\textsterling}$ | `\text{\textsterling}`|
|$\text{\textgreater}$ | `\text{\textgreater}`|
|$\blacktriangleleft$ | `\blacktriangleleft`|
|$\yen$ | `\yen`|
|$\text{\textbar}$ | `\text{\textbar}`|
|$\blacktriangleright$ | `\blacktriangleright`|
|$\surd$ | `\surd`|
|$\text{\textbardbl}$ | `\text{\textbardbl}`|
|$\diamond$ | `\diamond`|
|$\degree$ | `\degree`|
|$\text{\textbraceleft}$ | `\text{\textbraceleft}`|
|$\Diamond$ | `\Diamond`|
|$\text{\textdegree}$ | `\text{\textdegree}`|
|$\text{\textbraceright}$ | `\text{\textbraceright}`|
|$\lozenge$ | `\lozenge`|
|$\mho$ | `\mho`|
|$\text{\textbackslash}$ | `\text{\textbackslash}`|
|$\blacklozenge$ | `\blacklozenge`|
|$\diagdown$ | `\diagdown`|
|$\text{\P}$ | `\text{\P}`|
|$\star$ | `\star`|
|$\diagup$ | `\diagup`|
|$\text{\S}$ | `\text{\S}`|
|$\bigstar$ | `\bigstar`|
|$\flat$ | `\flat`|
|$\text{\sect}$ | `\text{\sect}`|
|$\clubsuit$ | `\clubsuit`|
|$\natural$ | `\natural`|
|$\copyright$ | `\copyright`|
|$\clubs$ | `\clubs`|
|$\sharp$ | `\sharp`|
|$\circledR$ | `\circledR`|
|$\diamondsuit$ | `\diamondsuit`|
|$\heartsuit$ | `\heartsuit`|
|$\text{\textregistered}$ | `\text{\textregistered}`|
|$\diamonds$ | `\diamonds`|
|$\hearts$ | `\hearts`|
|$\circledS$ | `\circledS`|
|$\spadesuit$ | `\spadesuit`|
|$\spades$ | `\spades`|
|$\text{\textcircled a}$ | `\text{\textcircled a}`|
|$\maltese$ | `\maltese`

Misc Symbols and Punctuation

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$x_n$ | `x_n`|
|$\stackrel{!}{=}$ | `\stackrel{!}{=}`|
|$\overset{!}{=}$ | `\overset{!}{=}`|
|$\underset{!}{=}$ | `\underset{!}{=}`|
|${=}\mathllap{/\,}$ | `{=}\mathllap{/\,}`|
|$\mathrlap{\,/}{=}$ | `\mathrlap{\,/}{=}`|
|$a \atop b$ | `a \atop b`|
|$a\raisebox{0.25em}{b}c$ | `a\raisebox{0.25em}{b}c`|
|$_u^o$ | `_u^o`|
|$e^x$ | `e^x`|
|$\left(x^{\smash{2}}\right)$ | `\left(x^{\smash{2}}\right)`|
|$\sqrt{\smash[b]{y}}$ | `\sqrt{\smash[b]{y}}`|
|$\sum_{\mathclap{1\le i\le j\le n}} x_{ij}$ | `\sum_{\mathclap{1\le i\le j\le n}} x_{ij}`|

Overlap and Spacing Specifiers

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$\color{blue} F=ma$ | `\color{blue} F=ma`|
|$\textcolor{blue}{F=ma}$ | `\textcolor{blue}{F=ma}`|
|$\textcolor{#228B22}{F=ma}$ | `\textcolor{#228B22}{F=ma}`|
|$\colorbox{aqua}{A}$ | `\colorbox{aqua}{A}`|
|$\fcolorbox{red}{aqua}{A}$ | `\fcolorbox{red}{aqua}{A}`|
|$\mathrm{Ab0}$ | `\mathrm{Ab0}`|
|$\mathbf{Ab0}$ | `\mathbf{Ab0}`|
|$\mathit{Ab0}$ | `\mathit{Ab0}`|
|$\mathnormal{Ab0}$ | `\mathnormal{Ab0}`|
|$\textbf{Ab0}$ | `\textbf{Ab0}`|
|$\textit{Ab0}$ | `\textit{Ab0}`|
|$\textrm{Ab0}$ | `\textrm{Ab0}`|
|$\bf Ab0$ | `\bf Ab0`|
|$\it Ab0$ | `\it Ab0`|
|$\rm Ab0$ | `\rm Ab0`|
|$\bold{Ab0}$ | `\bold{Ab0}`|
|$\textup{Ab0}$ | `\textup{Ab0}`|
|$\textnormal{Ab0}$ | `\textnormal{Ab0}`|
|$\boldsymbol{Ab}$ | `\boldsymbol{Ab}`|
|$\Bbb{AB}$ | `\Bbb{AB}`|
|$\text{Ab0}$ | `\text{Ab0}`|
|$\bm{Ab0}$ | `\bm{Ab0}`|
|$\mathbb{AB}$ | `\mathbb{AB}`|
|$\mathsf{Ab0}$ | `\mathsf{Ab0}`|
|$\textmd{Ab0}$ | `\textmd{Ab0}`|
|$\frak{Ab0}$ | `\frak{Ab0}`|
|$\textsf{Ab0}$ | `\textsf{Ab0}`|
|$\mathtt{Ab0}$ | `\mathtt{Ab0}`|
|$\mathfrak{Ab0}$ | `\mathfrak{Ab0}`|
|$\sf Ab0$ | `\sf Ab0`|
|$\texttt{Ab0}$ | `\texttt{Ab0}`|
|$\mathcal{AB0}$ | `\mathcal{AB0}`|
|$\tt Ab0$ | `\tt Ab0`|
|$\mathscr{AB}$ | `\mathscr{AB}`|
|$\textsf{\textbf{H}}$ | `\textsf{\textbf{H}}`|
|$\mathsf{\mathbf{H}}$ | `\mathsf{\mathbf{H}}`|
|$\pmb{\mu}$ | `\pmb{\mu}`|
|$\Huge AB$ | `\Huge AB`|
|$\normalsize AB$ | `\normalsize AB`|
|$\huge AB$ | `\huge AB`|
|$\small AB$ | `\small AB`|
|$\LARGE AB$ | `\LARGE AB`|
|$\footnotesize AB$ | `\footnotesize AB`|
|$\Large AB$ | `\Large AB`|
|$\scriptsize AB$ | `\scriptsize AB`|
|$\large AB$ | `\large AB`|
|$\tiny AB$ | `\tiny AB`|
|$\displaystyle\sum_{i=1}^n$ | `\displaystyle\sum_{i=1}^n`|
|$\textstyle\sum_{i=1}^n$ | `\textstyle\sum_{i=1}^n`|
|$\scriptstyle x$ | `\scriptstyle x`|
|$\scriptscriptstyle x$ | `\scriptscriptstyle x`|
|$\lim\limits_x$ | `\lim\limits_x`|
|$\lim\nolimits_x$ | `\lim\nolimits_x`|
|$\verb!x^2!$ | `\verb!x^2!`|

Style, Font, Size and Color Modifiers

1. Operators 
* Big Operators 
* Binary Operators
* Fractions and Binomials
* Math Operators
2. Letters 
* Greek Letters
* Other Letters
3. Logic and Set Theory Symbols 
4. Accents and Symbol Decorators 
5.  Delimiters and Brackets 
6. Matricies / Environments 
7. Comparison and Relation Symbols
* Equality Comparison Symbols
* Negated Comparison / Relation Symbols
* Arrows
8. Annotation Symbols 
9. Misc Symbols and Punctuation 
10. Overlap and Spacing Specifiers 
11. Style, Font, Size and Color Modifiers 

University of Michigan - Ann Arbor

#### Basic Usage: ####
*Wrap a single `$` or double `$$` USD symbols around a math formula to render it with $\KaTeX$*:

#### Example: ####
$$f{x} = \int_{-\infty}^{\infty}\hat f\xi\ ^\infty L×WM^2+yaw$$

#### Nodes: ####
1. Single `$`  vs Double `$$` Usage ####
2. $\KaTeX$ Symbol and Syntax Reference
3. How to Troubleshoot Katex Parse Errors: $\-+fxyz$  

$\KaTeX$ Math Formulas

#### Formulas wrapped with a single `$` will always render left-justified:
`$E = mc^2$` => $E = mc^2$
`\n$E = mc^2$\n` =>
$E=mc^2$

#### Formulas wrapped with double `$$` will render in the centered format shown below only If the following conditions are met:
* The formula is on it's own line.
* NO characters including all whitespace characters other than "\\n", are on the formula's line before the first `$$` or after the second `$$`.

`$$E = mc^2$$` => $$E = mc^2$$

***The math below renders centered because the formula does not share its line with any other characters:***
`\n$$E = mc^2$$\n` => 
$$E = mc^2$$

#### Note: If ANY character shares a line with a formula, (see space before "\\n") it will render left-justified even if wrapped with double `$$`: ####
` \n$$E = mc^2$$\n` => 
 $$E = mc^2$$ 

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